{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "[Sebastian Raschka](http://www.sebastianraschka.com)\n",
    "\n",
    "[back](https://github.com/rasbt/matplotlib-gallery) to the `matplotlib-gallery` at [https://github.com/rasbt/matplotlib-gallery](https://github.com/rasbt/matplotlib-gallery)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "[Link](https://github.com/rasbt/matplotlib-gallery) the matplotlib gallery at [https://github.com/rasbt/matplotlib-gallery](https://github.com/rasbt/matplotlib-gallery)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "%load_ext watermark"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Last updated: 15/07/2014 \n",
      "\n",
      "CPython 3.4.1\n",
      "IPython 2.0.0\n",
      "\n",
      "matplotlib 1.3.1\n",
      "numpy 1.8.1\n"
     ]
    }
   ],
   "source": [
    "%watermark -u -v -d -p matplotlib,numpy"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<font size=\"1.5em\">[More info](http://nbviewer.ipython.org/github/rasbt/python_reference/blob/master/ipython_magic/watermark.ipynb) about the `%watermark` extension</font>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<br>\n",
    "<br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Lineplots in matplotlib"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Sections"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- [Simple line plot](#Simple-line-plot)\n",
    "\n",
    "- [Line plot with error bars](#Line-plot-with-error-bars)\n",
    "\n",
    "- [Line plot with x-axis labels and log-scale](#Line-plot-with-x-axis-labels-and-log-scale)\n",
    "\n",
    "- [Gaussian probability density functions](#Gaussian-probability-density-functions)\n",
    "\n",
    "- [Cumulative Plots](#Cumulative-Plots)\n",
    "\n",
    "    - [Cumulative Sum](#Cumulative-Sum)\n",
    "    \n",
    "    - [Absolute Count](#Absolute-Count)\n",
    "\n",
    "- [Colormaps](#Colormaps)\n",
    "\n",
    "- [Marker styles](#Marker-styles)\n",
    "\n",
    "- [Line styles](#Line-styles)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<br>\n",
    "<br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Simple line plot"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "[[back to top](#Sections)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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ZOnQoeXl5tGnThsOHD7N3794jhrzs3LlznfsyLoa8jFb5rFq1qvq5AhM35OV3vvMdzjvv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\nREREREREREREREREREREGtH/AW0yGIImpNOxAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1054d9ed0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "\n",
    "x = [1, 2, 3]\n",
    "\n",
    "y_1 = [50, 60, 70]\n",
    "y_2 = [20, 30, 40]\n",
    "\n",
    "plt.plot(x, y_1, marker='x')\n",
    "plt.plot(x, y_2, marker='^')\n",
    "\n",
    "plt.xlim([0, len(x)+1])\n",
    "plt.ylim([0, max(y_1+y_2) + 10])\n",
    "plt.xlabel('x-axis label')\n",
    "plt.ylabel('y-axis label')\n",
    "plt.title('Simple line plot')\n",
    "plt.legend(['sample 1', 'sample2'], loc='upper left')\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<br>\n",
    "<br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Line plot with error bars"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "[[back to top](#Sections)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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YCntxnAJeJPEU9uIIBbxIcinsJWkU8CLOUdhLQingRVKDwl7iTgEvknoU9hIX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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10564a110>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "\n",
    "x = [1, 2, 3]\n",
    "\n",
    "y_1 = [50, 60, 70]\n",
    "y_2 = [20, 30, 40]\n",
    "\n",
    "y_1_err = [4.3, 4.5, 2.0] \n",
    "y_2_err = [2.3, 6.9, 2.1] \n",
    "\n",
    "x_labels = [\"x1\", \"x2\", \"x3\"]\n",
    "\n",
    "plt.errorbar(x, y_1, yerr=y_1_err, fmt='-x')\n",
    "plt.errorbar(x, y_2, yerr=y_2_err, fmt='-^')\n",
    "\n",
    "plt.xticks(x, x_labels)\n",
    "plt.xlim([0, len(x)+1])\n",
    "plt.ylim([0, max(y_1+y_2) + 10])\n",
    "plt.xlabel('x-axis label')\n",
    "plt.ylabel('y-axis label')\n",
    "plt.title('Line plot with error bars')\n",
    "plt.legend(['sample 1', 'sample2'], loc='upper left')\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<br>\n",
    "<br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Line plot with x-axis labels and log-scale"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "[[back to top](#Sections)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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2CSZh7M1LcF6ihmYJGPv3wx13mKEz9+yB55+3GD06hOGvXWDy9lG8t+49hjQf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\nrkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x104e65350>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "\n",
    "x = [1, 2, 3]\n",
    "\n",
    "y_1 = [0.5,7.0,60.0]\n",
    "y_2 = [0.3,6.0,30.0]\n",
    "\n",
    "\n",
    "\n",
    "x_labels = [\"x1\", \"x2\", \"x3\"]\n",
    "\n",
    "plt.plot(x, y_1, marker='x')\n",
    "plt.plot(x, y_2, marker='^')\n",
    "\n",
    "plt.xticks(x, x_labels)\n",
    "plt.xlim([0,4])\n",
    "plt.xlabel('x-axis label')\n",
    "plt.ylabel('y-axis label')\n",
    "plt.yscale('log')\n",
    "plt.title('Line plot with x-axis labels and log-scale')\n",
    "plt.legend(['sample 1', 'sample2'], loc='upper left')\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<br>\n",
    "<br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Gaussian probability density functions"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "[[back to top](#Sections)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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qVoW33zY6krT+/hv69FGlBLkEVQj7Y28lBJELN27AypX2OzhNo0bqqqdf5bow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\nQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x104e709d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "from matplotlib import pyplot as plt\n",
    "import math\n",
    "\n",
    "def pdf(x, mu=0, sigma=1):\n",
    "    \"\"\"\n",
    "    Calculates the normal distribution's probability density \n",
    "    function (PDF).  \n",
    "        \n",
    "    \"\"\"\n",
    "    term1 = 1.0 / ( math.sqrt(2*np.pi) * sigma )\n",
    "    term2 = np.exp( -0.5 * ( (x-mu)/sigma )**2 )\n",
    "    return term1 * term2\n",
    "\n",
    "\n",
    "x = np.arange(0, 100, 0.05)\n",
    "\n",
    "pdf1 = pdf(x, mu=5, sigma=2.5**0.5)\n",
    "pdf2 = pdf(x, mu=10, sigma=6**0.5)\n",
    "\n",
    "plt.plot(x, pdf1)\n",
    "plt.plot(x, pdf2)\n",
    "plt.title('Probability Density Functions')\n",
    "plt.ylabel('p(x)')\n",
    "plt.xlabel('random variable x')\n",
    "plt.legend(['pdf1 ~ N(5,2.5)', 'pdf2 ~ N(10,6)'], loc='upper right')\n",
    "plt.ylim([0,0.5])\n",
    "plt.xlim([0,20])\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<br>\n",
    "<br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Cumulative Plots"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "[[back to top](#Sections)]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<br>\n",
    "<br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Cumulative Sum"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "[[back to top](#Sections)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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FxXHixAkiIyMBaNeuHYGBgQAEBwczcODAEq0XyHcZZOnSpXTv3p2uXbsC0LFj\nR5o3b87GjRvR6XQ4ODhw6NAhbt26ha+vLwEBAaUqvxC25OeffyY3tyswGGjE7dtf8tNP67lz5w7A\n33WVG5Dw9ycUDg5n/q7X9GbO/IT4+DrcuPErN278wLVrrzJy5GulikPqLz1bq780TdaGDRtGdHTR\njzTatGkT8fHxxMXFMW/ePEaNGmXG6IS5eXi4ARcN0zrdRTw93QzTXbp0ISDADVfX7sAkXF3bM2XK\nlHz3Uvrrr0Sg7d9TLmRntyQxMbFUcSxevJiQkBC8vb3x9vbm8OHDhr5x58+fp06dOg9YwvxOnjxJ\nz549qVq1Kp6enrz99ttcvXq1RJ8dPHiwobJbtmwZffr0oWzZsgDs3buX9u3bU7lyZby8vJg7d26J\n13u3s2fPsmrVKsN+8Pb2ZteuXSQnJ+Pq6srKlSv54osvqFatGj179uTEiROl3oYQtsLNzQ0Hh4v8\n7ykwl3B0dDHUTzqdjhkzpuHq2hmdbhLlyj2Ov/8tevfubVhHfHwit2+3AXQA5Oa2ISFB6i+pvzRO\n1tq0aYO3t3eR89evX8/QoUMBaNmyJdeuXePSpUvmCk+Y2UcfvYmr66tAFA4OE3B3/w8TJ75imO/s\n7MyOHT/w73/34d13dXz33edMmDA+3zqaNGmJo+Mn6CvMszg5rS3QP+J+zp49y/Dhw/m///s/UlJS\nSE1NJSgoyPCLrWbNmsTHxxf6WZ1Ol2/azc2NjIwMw3ROTg6XL182TI8aNYqAgADi4+NJS0vjww8/\nLHEfu44dO3L58mUOHjzIihUrGDx4sGHe4MGD6d27N+fPn+fatWuMHDmyyPW6ubmRnp5umE5OTjaU\no1atWgwZMoTU1FTD68aNG0yYMAGAzp078+OPP5KcnEzDhg154YUXShS7ELYoMjKSatWuUqbMYGAG\nrq6dmTw5Kl+98OKLI9iwYSHvvKNjxowu7N271ZCkAEREtMTVdQGQCtyhTJnZPPZYWIljkPrLdusv\nix5gkJSUlK+DY40aNTh//ryGEQlTeuyxx9i16ydefTWTCRNcOHBgNw0aNMi3TJkyZRgxYgTvvz+Z\nLl26FFjH998voU6d73Fx8cbZOYAPPniVNm3alDiG9PR0dDodFStWJDc3lwULFnD48GHD/H/+85/M\nnDmT33//HaUU8fHxnDt3DgBfX19OnTplWLZ+/fpkZmayadMmsrOzmTJlCrdv3zbMv3nzJh4eHri6\nunL8+HELDi5UAAAgAElEQVTmzJlT4jidnZ3p168fr732GqmpqXTq1Cnfer29vXFxcSE2NpZly5YV\nqIjzNG3alBUrVnDnzh327duX75Lx008/zYYNG/jxxx/JyckhMzOTmJgYkpKS+Ouvv1i3bh3p6ek4\nOzvj5uZmsrvFC2ENXF1d2bdvO1FRTXnppYssWzaDiRMLXsLs0KED778/mZdeeoly5crlm/f888/x\nzDOtcXKqhrOzN2Fhl5g9e0aJY5D6y4brr4frOvfwzpw5o4KCggqd17NnT7Vz507D9D/+8Q+1f//+\nAssB6r333jO8tm3bZqpwhZGY8quXm5urrly5om7fvv1An3/77beVj4+Pqlixoho/fryKiIhQX331\nlWH+F198oRo0aKDc3d1VcHCw+uOPP5RSSq1bt07VqlVLeXl5qY8//lgppdTChQtV1apVVeXKldXM\nmTOVv7+/oUPsjh07VMOGDZW7u7tq06aNmjRpkmrTpo1hOw4ODoV20M3zyy+/KJ1Op0aPHp3v/dWr\nV6tHHnlEeXh4qJ49e6oxY8aoIUOGKKX055uDg4Ohg+7p06dVy5Ytlbu7u+rRo4d6+eWXDcsqpdTe\nvXtVu3btlI+Pj6pUqZLq2bOnSkxMVBcvXlTt2rVTnp6eysvLS7Vv314dO3bsgfb3/eR9T7Zt25bv\nHLeAqstopP6yPqb+/qWnp6vU1NQH+qzUX5ZTfyllvDpM88dNJSQk0KtXLw4dOlRg3siRI4mIiGDg\nwIEANGzYkO3bt+Pr65tvOXu8P8zly5dZsmQJ6ekZ9O79+H0HaVgiezxmovTkcVO2SSnFypUrOXbs\nOIGBAfTr16/I1hNLZI/HTDwYu3jcVGRkJIsXLwb090vx8vIqkKjZo+TkZIKCWvDWW38yeXIarVp1\nICYmRuuwhBCiWEophgwZzj//OZP338/hueem8vzzo7UOSwiLpmnL2qBBg9i+fTtXrlzB19eXyZMn\nG26qN2LECABGjx5NdHQ0bm5uLFiwgNDQ0ALrsbdfOW+99S4zZqRy587sv99ZRePGn3Hw4C+axlUa\n9nbMxIORljXbc/LkSZo2bcetW/GAG3CDsmVrc+zYb/j5+WkcXcnY2zETD85YdZiTMYMqrbyhu/cz\ne/bsYpexN1euXOPOndp3vVOHtLQ0zeIRQoiSunbtGs7OVbh1K++2PB44O1eWOkyI+7Doy6CicH36\ndMfVdRYQCyRQrtwE+vbtoXVYQghRrMDAQMqUSUWnmw1cxMHhE9zcMguM/BZC/I8ka1aoW7duzJr1\nHpUrD8LT81GeeSaI6dPf1zosIYQolpubG7/8spnGjVfi7t6YkJB1/PLL5nz3GxNC5Kf5aFBjkP4D\n1keOmSgJ6bMmLJEcM1FSNtFnTdgvb29vqxqqL7RxvyecCGEuGzdCq1ZQoYJ+WuovUVLGqsOkZU0U\n4OMDqanGXae3N6SkGHedwn7Z0jlvS2WxRZs3Q/fuMGoUyHg3YSw2dZ81oY3UVFDKuC9jJ39CCGFq\nZ87AM8/At9/C8uWQkKB1RMJeSbImhBBC3CMjA/r2hbfegieegBdfhPdlHJfQiFwGFQXodPrWMEtf\np7BftnTO21JZbIVSMHQo5OTA0qX6+uvaNahXD3buBLnLiHhYchlUCCGEeAj/93/wxx8wb54+UQPw\n8oLx4+G997SNTdgnaVkTBUjLmrB0tnTO21JZbMHOnfrLn7/+CnXq5J+Xng5160J0NDRpok18wjZI\ny5oQQgjxAC5ehAEDYOHCgokagJsbTJwI775r9tCEnZOWNVGAtKwJS2dL57wtlcWaZWVBhw7QuTNM\nmlT0cpmZUL++foRoq1bmi0/YltKe95KsiQIkWROWzpbOeVsqizUbM0Z/a45168ChmGtO8+fDypXw\n889mCU3YILkMKoQQQpTC4sX6fmhLlhSfqAE8+6w+sdu2zdSRCaEnLWuiAGlZE5bOls55WyqLNTpw\nQH/pc9s2CAoq+ee++UY/anTXrv+NGBWipKRlTQghhCiBq1f1Iz9nzy5dogYwcCBcvw6bNpkmNiHu\nJi1rogBpWROWzpbOeVsqizXJydE/8zM4GGbOfLB1fP+9/qkG+/eX7PKpEHmkZU0IIYQoxnvv6UeA\nTpv24Ovo3RucnGDNGuPFJURhpGVNFCAta8LS2dI5b0tlsRZr18LYsbBvH1Su/HDr2rwZXnkFDh8G\nR0fjxCdsn7SsCSGEEEU4cQJeeAFWrXr4RA30gxMqVdI/Q1QIU5GWNVGAtKwJS2dL57wtlcXS3bgB\nLVvCuHH6hM1YfvkFnnlGnwi6uBhvvcJ2ScuaEEIIcQ+lYNgwaN3auIkaQJs20KABfPWVcdcrRB5p\nWRMFSMuasHS2dM7bUlks2b/+BatXw44dULas8de/b59+wEFcHJQrZ/z1C9siLWtCCCHEXX7+GT75\nRD9q0xSJGkDz5hAWBp9/bpr1C/smLWuiAGlZE5bOls55WyqLJTp7Vt9PbflyaN/etNs6ckT/MPj4\nePDwMO22hHWTljUhhBACyMyEJ56A1183faIGEBgInTrBp5+aflvCvkjLmihAWtaEpbOlc96WymJJ\nlILnn4f0dFixwnzP74yPh1at4ORJ8PExzzaF9ZGWNSGEEHZv3jyIjdWP0DTng9br1tU/b3TGDPNt\nU9g+aVkTBUjLmrB0tnTO21JZLMWePRAZCbt2Qb165t9+YiI0barvw1alivm3LyyftKwJIYSwW5cu\nQb9++hY1LRI1gJo1YcgQmDpVm+0L2yMta6IAaVkTls6WznlbKosl6NpVfwuN99/XNo5LlyAgAA4c\ngFq1tI1FWB6ralmLjo6mYcOG1KtXj+nTpxeYHxMTg6enJyEhIYSEhDBlyhQNorRsPj76RMiYL29v\nrUslhBCll5YGO3fCu+9qHQn4+sKIEfDBB1pHImyBk1YbzsnJYfTo0fz8889Ur16dFi1aEBkZSaNG\njfIt165dO9avX69RlJYvNVVarIQQAmDvXv3NaZ2dtY5E7/XXoX59mDBBu0uywjZo1rIWGxtL3bp1\n8fPzw9nZmYEDB7Ju3boCy8nlASGEECWxezc8+qjWUfyPtze8/DJERWkdibB2miVrSUlJ1KxZ0zBd\no0YNkpKS8i2j0+nYvXs3TZo0oXv37hw9etTcYQohhLASlpasgT5Z27IFDh/WOhJhzTS7DKorwY1v\nQkNDSUxMxNXVlR9++IHevXtz8uTJQpeNuuunS0REBBEREUaKVAihtZiYGGJiYrQOw2Sk/np4OTn6\ny6CtWmkdSX4eHvrLoO++C99/r3U0QisPW4dpNhp0z549REVFER0dDcDUqVNxcHDgjTfeKPIz/v7+\n7N+/H597bgttz6OprGWUpbXEKayDLZ3ztlQWLR08CAMGwPHjWkdS0K1b+j5r338PLVpoHY2wBFYz\nGrR58+bExcWRkJBAVlYWK1euJDIyMt8yly5dMhQmNjYWpVSBRE0IIYTYvRtat9Y6isKVKwfvvKN/\nCfEgNLsM6uTkxOzZs+nSpQs5OTk8//zzNGrUiLlz5wIwYsQIVq9ezZw5c3BycsLV1ZUVK1ZoFa4Q\nQggLtns3WPLV4+eeg3/9C3bsgLZttY5GWBu5Ka6Vs5bLi9YSp7AOtnTO21JZtFSnDvz3v3DP3Z8s\nyuLFMH++PmEz5/NKheWxmsugQgghhDEkJ+vvOdmggdaR3N9TT8HVq7B5s9aRCGsjyZoQQgirtns3\nhIeDg4X/RXN01D8G65135EqDKB0L/2oLIYQQ92eJ91crSt++kJsrt/EQpSPJmhBCCKtmySNB7+Xg\nAFOm6O+7lpOjdTTCWkiyJoQQwmplZurvsWZN9y/r1k3/KKrRoyElRetohDWQZE2Y1MWLFxkwYBiO\njtfR6TD6S267J4R9+/13/QhQNzfjrzs3N5ePPppBixYd6datH0eOHDHKenU6+O47/f8bNoSPP4bb\nt42yamGjJFkTJnPz5k3CwiL47rsq5OTspWzZJ+nUqTdKYbRXaqrWpRRCaGnXLtP1V3v11bf48MPv\n2bfvNTZvfozw8A6cPXvWKOuuXBnmzIHt2/Wvhg1h+XJ9fzYh7iXJmjCZnTt3kpZWhTt3pgKdyMxc\nxvbt27hy5YrWoQkhbIQpBxd8+eVXZGQsB7qi1Mvcvt2b7/KaxIykUSNYvx4WLoR//1v/bNPt2426\nCWEDJFkTJuPg4ABkAXlj1O+gVC6Ojo4aRiWEsBVKmXZwgYODI5BtmNbpskxWf7Vrp38Q/bhx8Oyz\n8PjjlvmcU6ENSdaEybRt2xZf31u4uIwCVlKuXB969Xocb29vrUMTQtiA06fBxQVq1jTN+seNG4Or\n6xPAchwc3sPV9Uf69etnmo2hHyk6aJA+SWvbFtq0gVGj4NIlk21SWAlJ1oTJlC1bltjYbbzwghud\nOq3izTfbs2LFAq3DEkLYCFPfX+29997ik0/G0rnzdzz1VDK//76LqlWrmm6DfytTBl59FU6cAFdX\nCAyEDz6A9HSTb1pYKHk2qJWz92du2nv57ZUtnfO2VBZzGzlS3+fr5Ze1jsS0Tp+Gt96CnTth8mT9\nZVLpTWLd5NmgQggh7II1PbngYdSuDStW6G/3sWgRNG0KP/wgP1TtibSsWTl7b1my9/LbK1s6522p\nLOaUlgbVq+tv3+PsrHU05qOUfvToG2/o++rNmKFP3h5WWpq+Be/MmYL/du4Mn3328NsQ/1Pa816S\nNStn78mKKcrv42P8+7d5e8udyo3Jls55WyqLOf34I3z0EcTEaB2JNrKz4csv9ZdFu3TRP8LqfgMt\nsrLg7NnCk7HTp/Xrq10b/P3z/6sUvPIKxMebr2z2QJI1OyPJmvHLby3rtGe2dM7bUlnMKSpKn4B8\n9JHWkWjr+nX417/0N9gdPhx69ICEhILJ2KVL+pbIuxOxu/9foYK+nrpXTg54ecH58+Dpafbi2SxJ\n1uyMvScB1tIKZu/Hydhs6Zy3pbKYU+fOMHYs9OypdSSWISkJ3nsPDh8u2Drm769vdXNyerB1P/oo\nTJ2qvxecMA5J1uyMJAHWQY6TcdnSOW9LZTGXnBz9D7VTp6BiRa2jsX2jR0OdOvob9grjkNGgQggh\nbNrhw1C1qiRq5hIaCr//rnUU9k2SNSGEEFbFXm7ZYSlCQ+HAAa2jsG+SrAkhhLAqpnweqCgoIEA/\nSCEjQ+tI7Jcka0IIIayKtKyZl4uL/kkRf/6pdST2S5I1IYQQViM5WT8CvEEDrSOxL9JvTVuSrAkh\nhLAau3dDeDg4yF8vs5J+a9qSr7sQQgirIZdAtRESIi1rWpJkTQghhNWQwQXaaNwYjh3TPzVCmJ8k\na0IIIaxCZiYcPAgtWmgdif1xddU/DeHIEa0jsU+SrAkhhLAKv/+uH5Xo5qZ1JPZJ+q1pR5I1IYQQ\nVmHXLumvpiXpt6YdSdaEMBGlFHPnfkn79o8DcESuHwjxUGRwgXn9+eef9OnzNB069ObrrxcSEqIk\nWdOIk9YBCGGrpk2byZQpi8nIiAKgVav2HDy4h9q1a2sbmBBWSCl9sjZrltaR2IeTJ0/SunVHbt58\nE6jJ3r2TePPNW/z55yhycsDRUesI7YumLWvR0dE0bNiQevXqMX369EKXGTt2LPXq1aNJkyYckIvl\nwop88skcMjK+AZ4A4NatQSxbtlzboISwUqdP6++kX6uW1pHYhyVLviEjYygwDniSjIzFzJkzi6pV\n4eRJraOzP5olazk5OYwePZro6GiOHj3K8uXLOXbsWL5lNm3aRHx8PHFxccybN49Ro0ZpFK0QD0IB\nurumdSiltApGCKsml0DNS19XFay/pN+aNjRL1mJjY6lbty5+fn44OzszcOBA1q1bl2+Z9evXM3To\nUABatmzJtWvXuHTpkhbhClFqY8eOxNX1KeA7AMqVW8bgwYO0DUoIKyXJmnk988zTlCu3AJgFfIer\n6zOMGzdSHjulEc2StaSkJGrWrGmYrlGjBklJScUuc/78ebPFKMTDePvtCcycOZo2bRYA8OuvW6lT\np47GUQlhnWQkqHnVr1+fnTt/IjJyL23bLmTWrFd57bVXJFnTiGYDDHQ6XfELQYHLRkV9LioqyvD/\niIgIIiIiHjQ0IYxCp9MxatRwRo0ajk4HQUFBWodktWJiYoiJidE6DJOR+uv+0tL0fdaaNtU6EvvS\ntGlT1q1blu+9kBD9vdaUghL+GRc8fB2mWbJWvXp1EhMTDdOJiYnUqFHjvsucP3+e6tWrF7q+uys7\nIYRtuTeBmTx5snbBmIDUX/e3dy80bw7OzlpHIipVAg8POHNG/0QDUTIPW4dpdhm0efPmxMXFkZCQ\nQFZWFitXriQyMjLfMpGRkSxevBiAPXv24OXlha+vrxbhCiGE0Ij0V7MscinU/DRL1pycnJg9ezZd\nunQhICCAAQMG0KhRI+bOncvcuXMB6N69O7Vr16Zu3bqMGDGCzz//XKtwhRBCaESSNcsiyZr56VQx\n9xI4ceIEL774IsnJyRw5coQ///yT9evX884775grxmLpdPZ7SwSdTt93QFg2OU7GZUvnvC2VxRRy\ncsDHB06dgooVtY5GAGzYAJ9/Dj/8oHUk1qu0532xLWsvvPACH330ES4uLgAEBwezfLnc2FMIIYTp\nHT4MVatKomZJQkJg/375AWpOxSZrGRkZtGzZ0jCt0+lwll6eQgghzEAugVqevHF+Fy5oG4c9KTZZ\nq1SpEvHx8Ybp1atXU7VqVZMGJYQQQoA+WWvdWusoxN10Oum3Zm7FJmuzZ89mxIgRHD9+nGrVqvHJ\nJ58wZ84cc8RmE3Jzc5k4cRLly/vi6VmFSZM+kP4pFurixYtER0dz8OBBrUMRwmLs2LGDRx4JpFw5\nT9q06UZycrJZty8tayVz+/Zttm/fztatW8nIyDD59iRZM69iBxjkSU9PJzc3Fw8PD1PHVGqW3EH3\n3//+jHffXUJGxkogF1fXfvzrXyN46aWRRlm/dFw3jp9++ok+fQbj5NSU7OzjDB3aj88//7fR1i/H\nybgs+ZwvLUsuy7lz5wgIaEZ6+tfAozg5zSAw8Bf++GOXWbafnAwBAXDlCjhodu8Cy5eWlkarVv8g\nKUkBzvj43GDv3q0mvdXVqlXwzTewdq3JNmHTSnveF5usTZ482bDSu58eMGnSpAeP0sgsubJr3bo7\nu3ePBPLuIbea9u2XsnWrcb7hkgQ8PKUU3t5VSUtbAUQA13Fza8bGjV/Srl07o2xDjpNxWfI5X1qW\nXJbly5czYsR33Lix6u93cnFycicl5ZJZfrh/9x189RVs3GjyTVm1sWNfZ968VG7fng/ocHZ+nSef\nTGXZsi9Nts1Tp6B9ezh3zmSbsGlGHw3q5uaGm5sb7u7uODg4sGnTJhISEh4mRrtSqZI3Ot1Jw7SD\nw0kqVfLWMCJxr1u3bnHzZiqQl5iVB1px+vRpDaMSQnve3t4odQq48/c7ieh0UK5cObNsXy6Blsyx\nY6e5fbszoG9Qyc7uzIkTpq2/ateG69fh8mWTbkb8rdjHTb322mv5pl9//XU6d+5ssoBszdSp77B1\nawS3b8cBuZQr91+mTNmhdVjiLq6urlSt6s/584uBocAZlNpC06bjtQ5NCE116tSJ0NDP2L+/I5mZ\nYZQp8y0ffDANJyfzPKlw92748EOzbMqqtW4dyq5di7h1KxJwpGzZrwkPDzXpNnW6/z0nVFIC0ytx\nn7U8KSkphIWF5RshqjVLvowA+n4fq1evRqfT0a9fvwLPQH0YcnnNOA4dOkTHjpHcvHmHO3euMXPm\nvxgzZpTR1i/Hybgs/ZwvDUsvy507d1i2bBlJSUm0atWK9u3bm2W7mZlQoQL89Re4uZllk1YrKyuL\nvn2f5ueff0KncyQsLIxNm1bhZuIdN348+PrCG2+YdDM2yeh91oKDgw3/z83N5a+//mLSpEmMGTPm\nwaM0Mkuv7ExJkgDjyc7OJikpiQoVKhi9P44cJ+OypXPelspiTLt3w9ixsG+f1pFYj0uXLpGTk0PV\nqlXz9TE3laVL9U8zWLnS5JuyOUZP1u7un+bk5ISvr6/F3RTXnis7SQKsgxwn47Klc96WymJMM2ZA\nYiJ89pnWkYiiHD0Kjz8OcXFaR2J9SnveF9nxICUlBYDy5cvne//GjRsA+Pj4PEh8QgghRLF274YB\nA7SOQtxPgwZw8SKkpYGnp9bR2LYik7XQ0ND7NqOeOXPGJAEJIYSwb0rpk7VZs7SORNyPoyMEB8PB\ng9C2rdbR2LYikzW5PYcQQggtnD4NLi5Qq5bWkYji5D3JQJI10yrR+OvU1FTi4uLIzMw0vNdWjowQ\nQggTkPurWY/QUNi+XesobF+xydr8+fP57LPPSExMJCQkhD179hAeHs7WrVvNEZ8QQgg7I8ma9QgN\nhU8+0ToK21fsEwxmzZpFbGwsfn5+bNu2jQMHDuApPQmFEEKYyK5dkqxZi8BA/WVrMzw73q4Vm6yV\nLVvW8GiRzMxMGjZsyIkTJ0wemBBCCPuTlqb/49+0qdaRiJJwcYGGDeHQIa0jsW3FXgatUaMGqamp\n9O7dm06dOuHt7Y2fn58ZQhNCCGFv9u6FZs3Awm7nKe4jb5BBy5ZaR2K7ik3W1q5dC0BUVBQRERFc\nv36drl27mjwwIYQQ9mf3bmjdWusoRGnkJWvCdIq9DDpmzBh2794NQEREBJGRkbi4uJg8MCGEEPZH\nBhdYn9BQ/QPdhekUm6w1a9aMKVOmULt2bV577TX2yYPahBBCmEBOjv4yaKtWWkciSqNxY/2jp7Ky\ntI7EdhX7bNA8V69e5bvvvmP58uWcO3eO+Ph4U8dWYvb8bD155qR1kONkXLZ0zttSWR7WwYP6R0wd\nP651JKK0AgPhm29kYEhJlfa8L7ZlLU98fDzHjx/n7NmzNGrU6IGCE0IIIYoil0Ctl/RbM61ik7UJ\nEyZQr149Jk2aRFBQEPv372fDhg3miE0IIYQdkcEF1kv6rZlWsaNB69Spw6+//krFihXNEY8QQgg7\ntXs3vPWW1lGIBxESAqtXax2F7SpxnzVLZs99PqQvlHWQ42RctnTO21JZHkZyMgQEwJUr4FDiDjrC\nUly7BjVq6G9q7OiodTSWz2R91oQQQghT2b0bwsMlUbNWXl5QpQqcPKl1JLapyNOiW7dunDlzxpyx\nCCGEsFMyuMD6Sb810ykyWXvuuefo0qULH374IdnZ2eaMSQghhJ2RZM36hYTIiFBTuW+ftZs3b/L+\n+++zefNmhgwZgk6n039Ip2P8+PFmC7I49tznQ/pCWQc5TsZlS+e8LZXlQWVmQoUK8Ndf4OamdTTi\nQW3eDNOnw9atWkdi+Up73t93NKizszPu7u5kZmZy48YNHIzUmSAlJYUBAwZw9uxZ/Pz8+Pbbb/Hy\n8iqwnJ+fH+XLl8fR0RFnZ2diY2ONsn0hhBCW4/ffoVEjSdSsXUiI/jKoUvofqMJ4ikzWoqOjGT9+\nPL169eLAgQO4uroabaPTpk2jU6dOTJgwgenTpzNt2jSmTZtWYDmdTkdMTAw+Pj5G27awDefPn+fk\nyZPUrl0bPz8/rcMRQjwEe7sEmpGRwf79+ylbtiyhoaE42sjwycqVwd0dEhLA31/raGxLkU1lH374\nIatWrWL69OlGTdQA1q9fz9ChQwEYOnQoa9euLXJZe788IApaunQZ9es3pW/fyQQEtGD27C+0DkkI\n8RB27bKfZC0xMZH69ZvSs+erdOgwhLZtu5GZmal1WEYj/dZMo8g+a0opQx81Y/P29iY1NdWwHR8f\nH8P03WrXro2npyeOjo6MGDGCF154odD12XOfD3vrC5Wamkq1arXJzNwJBAJnKFeuBceP/06tWrW0\nDq9I9nacTM2WznlbKsuDUEp/y4fffgMLPoWNplu3fvz0UxA5Oe8BOZQt25dJkx7lzTff0Do0o4iK\nguxs+PBDrSOxbEbrs/awiVqnTp1ITk4u8P6H9xxBnU5X5LZ27dpF1apVuXz5Mp06daJhw4a0adOm\n0GWjoqIM/4+IiCAiIuKBYxeW6/z58zg7VyUzM/Dvd/xxcWlAQkKCRSdr4uHExMQQExOjdRgmY8/1\n1+nT4OJiH4kawIkTceTkTPx7ypHMzG4cPrxf05iMKTQU5szROgrL87B1mCZPMGjYsCExMTFUqVKF\nixcv0r59e44fP37fz0yePBl3d3deffXVAvPs+ZepvbXY3Lhxg6pV/UlPXws8BvyBq2tHTp06TJUq\nVbQOr0j2dpxMzZbOeVsqy4NYsgT++19YuVLrSMyjX7+hrF/vSVbWLOAWrq49mDr1CcaOHa11aEZx\n/jw0a6Z/IoUMMiiaVTzBIDIykkWLFgGwaNEievfuXWCZjIwMbty4AUB6ejo//vgjwcHBZo1TWB4P\nDw/WrPkGN7feuLvXo1y59ixY8IVFJ2pCiKLZ2+CCOXM+pn79WFxda1G2bC26dq3BSy+N0joso6le\nHXJz4eJFrSOxLZq0rKWkpNC/f3/OnTuX79YdFy5c4IUXXmDjxo2cPn2avn37AnDnzh2eeuop3nzz\nzULXZ8+/TO21xSY9PZ3ExESqV6+Oh4eH1uEUy16Pk6nY0jlvS2V5EI0bw1dfQYsWWkdiPjk5OZw9\ne5YyZcpQvXp1rcMxui5dYMwY6NlT60gsV2nPe3mQu5WTJMA6yHEyLls6522pLKWVlqZviUlNBWdn\nraMRxvLmm1CuHEyapHUklssqLoMKIYQQe/fq+zdJomZbQkPl9h3GJsmaEEIITezeDa1bax2FMLa8\nJxkI45FkTQghhCbsbXCBvahdG65dgytXtI7EdkiyJoQQwuzu3NFfBm3VSutIhLE5OEjrmrFJsmZG\nPj76jubGfHl7a10qYSuuXLnChQsX7LazuzCv2Fj98yMrVtQ6EmEK5u63duvWLRISEsjKyjLfRs1I\nkjUzSk3Vjwg05islRetSCWuXk5PDwIHDqF69DnXqNCE8vCPXr1/XOixh4zZv1t/iQdgmc7asrVnz\nHVnVxeAAABurSURBVBUqVCMwsA2VK9fil19+Mc+GzUiSNSHs3KxZs9mwIYGsrAtkZibzxx+PMGaM\nbTynUFiu6Gjo2lXrKISpmKtlLSkpiWeeGc6tW1vIyEgkLW0hPXv249atW6bfuBlJsiaEndu163cy\nMoYAboAjt2//k717Zdy9MJ2rV+H4cRkJassaNICkJDB1I/2xY8dwdg4GQv9+pyu5uW6cO3fOtBs2\nM0nWhLBzjRr5U7bsz0AuAI6OP1Gvnr+2QQmb9tNP0K6d/gHuwjY5OemfTvHHH6bdziOPPEJW1lEg\n7/lWR7lz5ypVq1Y17YbNTJI1IezcxImv0aDBWTw8mlG+fBsqV17C55/P0DosYcPkEqh9MEe/tXr1\n6vH226/h6hqKp2dXypVrx9y5sylfvrxpN2xm8rgpM5JHDtkvSz/22dnZ7N69m6ysLFq1amXxz1u1\nlnO+JGypLCWhFFSrBjt3Qp06WkcjTOnLL+GXX2DRItNv69ixY5w+fZpGjRpRu3Zt02/wIcmzQS2Y\npf/BFqYjx964rOWcLwlbKktJHDwITz4JcXFaRyJM7fffYehQOHRI60gsjzwbVAghhMWKjpZbdtiL\nwEA4dQpsbGCmJiRZE0IIYTabN0t/NXtRpox+VKi0rD08SdaEEEKYxc2b8NtvEBGhdSTCXMz9JANb\nJcmaEEIIs9i2DcLCwN1d60iEuUiyZhySrAkhhDALuWWH/ZFkzThkNKgZyYhA+yXH3ris5ZwvCVsq\nS3Hq1IG1ayE4WOtIhLmkp0OlSpCWBs7OWkdjOWQ0qBBCCIsTHw+ZmRAUpHUkwpzc3MDPD44e1ToS\n6ybJmhBCCJPLu2WHTqd1JMLc5FLow5NkTQghhMlt3iz3V7NXkqw9PEnWhBBCmNTt27B9O3TsqHUk\nQgvmeEaorZNkTQghhEnt3Km/m32FClpHIrQQEqJ/zFhOjtaRWC9J1oQQQpiUXAK1b15eULmyPA/2\nYUiyJoQQwqTk/mpC+q09HEnWhBBCmExSkv7VooXWkQgtSb+1hyPJmhBCCJP58Uf9wAJHR60jEVqS\nlrWHI8maEEIIk5FLoAL0LWu//y5PcnlQkqwJIYQwiZwc+Pln6NxZ60iE1nx99U8zSEjQOhLrJMma\nEEIIk/jtN6heXf8SIq91TZSeJsnaqlWrCAwMxNHRkd/vc+Sio6Np2LAh9erVY/r06WaMUAghxMPK\ne8SUEKDvtyaDDB6MJslacHAw33//PW3bti1ymZycHEaPHk10dDRHjx5l+fLlHDt2zIxRCiGEeBib\nN0t/NfE/MsjgwTlpsdGGDRsWu0xsbCx169bFz88PgIEDB7Ju3ToaNWpk4uiEEEI8rJQUOHIEHntM\n60iEpQgNhf379YMMdDqto7EuFttnLSkpiZo1axqma9SoQVJSkoYRCSGEKKmff4a2baFMGa0jEZai\nRg39oJOLF7WOxPqYrGWtU6dOJCcnF3j/o48+olevXsV+XlfKtDsqKsrw/4iICCIiIkr1eSGE5YqJ\niSEmJkbrMEzGFusvuWWHuJdO979+a9WqaR2NeT1sHaZTSru7nrRv356PP/6Y0NDQAvP27NlDVFQU\n0dHRAEydOhUHBwfeeOONAsvqdDo0LEaJ6XRyjxl7JcfeuKzlnC8JWypLHqX0rSjbt0PdulpHIyzJ\nxIn6W3i8+67WkWirtOe95pdBiwq2efPmxMXFkZCQQFZWFitXriQyMtLM0QkhhCitw4ehbFlJ1ERB\nMsjgwWiSrH3//ffUrFmTPXv20KNHD7p16wbAhQsX6NGjBwBOTk7Mnj2bLl26EBAQwIABA2RwgRBC\nWAG5BCqKIvdaezCaXgY1Fmu5jCCXwuyXHHvjspZzviRsqSx5OnaEsWNBLoaIe+XmgpcXnDkDFSpo\nHY12rO4yqBBCCNtx8ybs3Qvt22sdibBEDg761jW5OW7pSLImhBDCaGJioEUL8PDQOhJhqaTfWulJ\nsiaEEMJoNm+WR0yJ+5NkrfQkWRPCDLy99f3WjPny8dG6VEIUJIMLRHHCw/W3dcnO1joS6yHJmhBm\nkJKiH2BgzFdqqtalEiK/U//f3r1HVVXmfxx/Hy6KZZppYQkOhiBXBTVw/MkvCA9WXhovOeqYTjZi\nVs5UarrWVDO2AvXnNMvJqVWZDs3KprIyzTFSMycvgxqgqegyHRnwOpaXpYASsH9/nGRSUBEOZ+99\nzue1lks5Z7P3Z7P2efj67Od59gHXmLXu3c1OIlbWtavrz8qVZiexDxVrIiLiFhdvgeq5j3ItmZnw\nxhtmp7APFWsiIuIWugUqDTViBGzbBsXFZiexBxVrIiLSZJWVrnFITqfZScQOWrWCsWPhzTfNTmIP\nKtZERKTJNm2CqCjfXuhUrk9mJixerIkGDaFiTUREmky3QOV6xcRAeLgmGjSEijUREWkyra8mjaGJ\nBg2jZ4N6kJ4PKe7ky9eTXT7zDeEN53L0KMTGwn/+AwEBZqcRO6mogNBQ+OorCAszO43n6NmgIiLi\nUatXQ3q6CjW5fppo0DAq1kREpEk0Xk2aQhMNrk3FmoiINFp1NaxZo/Fq0niaaHBtKtZERKTR8vOh\nY0cICTE7idhZZia8/rrZKaxLxZqIiDSaboGKO4wY4ZpkcPCg2UmsScWaiIg0Wm6uboFK012caLBo\nkdlJrElLd3iQLy+1IO7ny9eTXT7zDWHnczl1Cn7yE9eSHUFBZqcRuysqgv794d//hsBAs9M0Ly3d\nISIiHrF2LaSkqFAT99BEgytTsSYiIo2ipxaIu02apIkG9VGxJmIz1dXV7N27F8C2t8/E/gxDkwuk\ncY4dO8bXX39NRUVFnfeGD9dEg/qoWBOxkVOnTtGzZwq9e98HgNP5ABcuXDA5lfii3btd44oiIsxO\nInbyu99lERYWTb9+owgJiaCwsPCS91u1goce0hMNLqdiTcRGfvObmezd252ysgMAbN4Mc+b8weRU\n4os++8zVq+ZwmJ1E7GLjxo384Q8LuXBhL2fPFnHy5P8xZMjoOttNnKgnGlxOxZqIjRQW7qaycjQX\nP7oVFQ+ybdsuc0OJT9ItULleu3fvBvoDwT+8MorDh7/h+8uqspgY6NoVPvnE0wmtS8WaiI3ExkYS\nGPgx4BqrFhT0CT16dDM3lPicsjLIy4O0NLOTiJ1ERkbicKwHTv3wygqCg8MIrGedjkmT4I03PJnO\n2lSsXebbb7/l448/Zs2aNXWqfRGzLVgwl7CwL7jppu4A9OjxHc8+O8PkVGIVNTU1fPHFF3z00Ucc\nPXq02Y7zj39Ar17Qpk2zHUK8UFpaGpmZD9KqVRRt2/ahTZtHWbZsSb3baqLBpbQo7o/s2rWLlJQM\namoSqKk5TlTUTWzYkEuQmxYR8uVFTMV9Kisr2bFjB0lJd1FVVY2/v7/ZkTzOzgvJXs5d51JVVUVG\nxlC2bSvGzy8Mw9jKmjUrSE5OdkPKS/3613DHHTBzptt3LT5g//79HD9+nNjYWG6++eYrbvfUU3DD\nDZCV5cFwHnK9n3sVaz+SlJTOV1+NxDAmATUEBQ0lKyuVp59+qukhUbEm7uXL15OKtbpycnJ44okc\nysrWAgHA+0REzGHfvoIm7/ty3brBu+9CYqLbdy1Sa88euOceKCnxvica6AkGTVBSUoJh3P3DV36c\nP5/CgQMlpmYSEWmIkpISysv/B1ehBnA/hw+fcftx/vUvOHMGevRw+65FLhEd7VoaRhMNVKxdok+f\nJFq0eBmoAeDGG9+mX78kc0OJiDRAUlISN9zwPnAEMHA49lJZWUB2Npw7577jfPYZZGSAn357iAdk\nZmqiAZhUrC1dupTY2Fj8/f0pKLhyF31YWBjdu3cnMTGRpKTmL5oWL15A9+5FtGjRDoCJE+9l1KhR\nzX5cEZGmuvfee5kx4xECA7vSsuUtREc/xhdfXGDnTtcyCPPnw/nzTT/OxfXVRDxhxAjIz9dEA1PG\nrO3duxc/Pz8mTZrESy+9RM+ePevdrkuXLuTn53PLLbdcdX/uHL9iGAYnT56kQ4f2bh8P5MtjjMT9\nfPl60pi1K6uoqKCsrIz27dvj+GHF2h074LnnoLAQnn8efvnLxo0BqqyEW2+F/ftdf4t4gjdONLDF\nmLWoqCgiIyMbtK2nG2SHw0H79u09ekwREXdp1aoVHTp0qC3UwDW+bMUKWLoU3nvPNRZoyRKorr6+\nff/znxAZqUJNPCszU080sPSoA4fDQf/+/enduzcLFy40O46IiK316QNr18LChfDKK64ibtmyhvfQ\n6qkFYgZNNPjvtCG3czqdHDt2rM7r2dnZDB48uEH72LRpE7fffjsnTpzA6XQSFRVFSkpKvdv+/ve/\nr/13amoqqampjYktIha0fv161q9fb3aMZuPp9istDTZtglWr4Le/hdmz4cUXwem8+rM+c3NhwYJm\njSZSr8xMeP11GDbM7CSN09Q2zNR11tLS0q46Zu3HZs2aRevWrZk6dWqd95pj/EpzjAfy5TFG4n6+\nfD1pzJr71NTABx+4xrIFB7vGBfXrV3e7Y8dcPRwnTkBAs/03X6R+589DSAhs2wZdupidpulsMWbt\nx64Utry8nLNnzwJQVlbG6tWriY+P92Q0ERGv5+cHI0fCrl3w8MPw0ENw//1w+UT91ashPV2Fmpgj\nKMh1bfrqiChTirVly5YRGhpKXl4eAwcO5L777gPgyJEjDBw4EIBjx46RkpJCQkICycnJDBo0iIyM\nDDPiioh4vYAA1yzRvXth4EAYPNi1bEJRkev9zz6DAQNMjSg+LjMT/vIX35xooMdNXXGfug0q1ubL\n15PZtw7dyarnUl7umoQwb55rUsGnn7rWu+rc2exk4sv+93/hySftO3btItvdBrWqdu1cvwzd+add\nO7PPSkSkYW64AaZPd62pFh4OKSkq1MR8kya5Jhr4GvWsidiUeta84+S96VxEmpu3TDRQz5qIiIh4\nJV+daKCeNRGbUs+ad5y8N52LiCfs2QP33AMlJY17bJoVqGdNREREvNbFJxqsWGF2Es9RsSYiIiK2\nMmkSvPGG2Sk8R7dBRWxKt0G94+S96VxEPOX8eQgNhS1b4M47zU5z/XQbVERERLzaxYkGb75pdhLP\nUM+aiE2pZ807Tt6bzkXEk+w80UA9ayIiIuL1oqMhMtI3JhqoWBMRERFbysz0jYkGug0qYlO6Deod\nJ+9N5yLiaXadaKDboCIiIuITfGWigXrWRGxKPWvecfLedC4iZrDjRAP1rImIiIjP8IWJBirWRERE\nxNYyM+H1181O0XxUrInYVLt2rluh7v4jImI3w4dD585QVWV2kuahMWsiYjve9Jn3pnMRkYbRmDUR\nERERL6JiTURERMTCVKyJiIiIWJiKNRERERELU7EmIiIiYmEq1kREREQsTMWaiIiIiIWpWBMRERGx\nMBVrIiIiIhamYk1ERETEwlSsiYiIiFiYijURERERC1OxJiIiImJhphRr06dPJzo6mh49ejBs2DDO\nnDlT73a5ublERUURERHB3LlzPZzS/davX292hAaxS06wT1blFLuz07Vhl6zK6V52ydkYphRrGRkZ\n7N69mx07dhAZGcns2bPrbFNdXc0TTzxBbm4uRUVF/O1vf2PPnj0mpHUfu1xIdskJ9smqnGJ3dro2\n7JJVOd3LLjkbw5Rizel04ufnOnRycjKHDh2qs83WrVvp2rUrYWFhBAYGMmrUKJYvX+7pqCIiIiKm\nMn3M2uLFi7n//vvrvH748GFCQ0Nrvw4JCeHw4cOejCYiIiJiOodhGEZz7NjpdHLs2LE6r2dnZzN4\n8GAAsrKyKCgo4MMPP6yz3Ycffkhubi4LFy4E4O2332bLli0sWLCgzrZdu3blwIEDbj4DEbGq8PBw\n9u/fb3YMt1D7JeJ7rrcNC2iuIGvWrLnq+zk5OaxatYrPP/+83vc7depEaWlp7delpaWEhITUu623\nNNoi4nvUfonItZhyGzQ3N5d58+axfPlygoKC6t2md+/efPPNNxQXF1NZWcl7773HkCFDPJxURERE\nxFymFGtTpkzh3LlzOJ1OEhMTeeyxxwA4cuQIAwcOBCAgIIA///nPDBgwgJiYGH7+858THR1tRlwR\nERER0zTbmDURERERaTrTZ4M2hV0WzS0tLSUtLY3Y2Fji4uJ4+eWXzY50VdXV1SQmJtZOBLGi06dP\nM2LECKKjo4mJiSEvL8/sSPWaPXs2sbGxxMfHM2bMGC5cuGB2pFoTJkwgODiY+Pj42tdOnjyJ0+kk\nMjKSjIwMTp8+bWJCl/pyNnRhbauzQxum9sv97NJ+gXXbMJ9rvwybqqqqMsLDw42DBw8alZWVRo8e\nPYyioiKzY9Xr6NGjRmFhoWEYhnH27FkjMjLSslkNwzBeeuklY8yYMcbgwYPNjnJF48aNMxYtWmQY\nhmF8//33xunTp01OVNfBgweNLl26GOfPnzcMwzBGjhxp5OTkmJzqv7788kujoKDAiIuLq31t+vTp\nxty5cw3DMIw5c+YYM2bMMCterfpyrl692qiurjYMwzBmzJhhiZzXyy5tmNov97ND+2UY1m7DfK39\nsm3Pmp0Wze3YsSMJCQkAtG7dmujoaI4cOWJyqvodOnSIVatW8atf/QrDonfIz5w5w4YNG5gwYQLg\nGt/Ytm1bk1PV1aZNGwIDAykvL6eqqory8nI6depkdqxaKSkptGvX7pLXVqxYwfjx4wEYP348H3/8\nsRnRLlFfzoYsrG11dmnD1H65l13aL7B2G+Zr7ZdtizW7LppbXFxMYWEhycnJZkep11NPPcW8efNq\nLyQrOnjwILfeeisPP/wwPXv2ZOLEiZSXl5sdq45bbrmFqVOn0rlzZ+644w5uvvlm+vfvb3asqzp+\n/DjBwcEABAcHc/z4cZMTXduVFta2Oju2YWq/ms4u7RfYrw3z5vbLulf0NTgcDrMjXLdz584xYsQI\n/vSnP9G6dWuz49SxcuVKbrvtNhITEy37v1KAqqoqCgoKeOyxxygoKODGG29kzpw5Zseq48CBA8yf\nP5/i4mKOHDnCuXPnWLJkidmxGszhcFj+c5aVlUWLFi0YM2aM2VGum9V/tpdT++Uedmm/wN5tmLe1\nX7Yt1q5n0Vwr+P777xk+fDhjx47lZz/7mdlx6rV582ZWrFhBly5dGD16NOvWrWPcuHFmx6ojJCSE\nkJAQ7rrrLgBGjBhBQUGByanq+uqrr+jbty/t27cnICCAYcOGsXnzZrNjXVVwcHDtk0eOHj3Kbbfd\nZnKiK7u4sLZdfnlczk5tmNov97FL+wX2a8O8uf2ybbFmp0VzDcPgkUceISYmhieffNLsOFeUnZ1N\naWkpBw8e5N133+Wee+7hr3/9q9mx6ujYsSOhoaHs27cPgLVr1xIbG2tyqrqioqLIy8ujoqICwzBY\nu3YtMTExZse6qiFDhvDWW28B8NZbb1n2F3NDFta2Oru0YWq/3Msu7RfYrw3z6vbL7VMfPGjVqlVG\nZGSkER4ebmRnZ5sd54o2bNhgOBwOo0ePHkZCQoKRkJBgfPrpp2bHuqr169dbejbV9u3bjd69exvd\nu3c3hg4datnZVHPnzjViYmKMuLg4Y9y4cUZlZaXZkWqNGjXKuP32243AwEAjJCTEWLx4sfHdd98Z\n6enpRkREhOF0Oo1Tp06ZHbNOzkWLFhldu3Y1OnfuXPt5mjx5stkxG8UObZjaL/ezS/tlGNZtw3yt\n/dKiuCIiIiIWZtvboCIiIiK+QMWaiIiIiIWpWBMRERGxMBVrIiIiIhamYk1ERETEwlSsiYiIiFiY\nijURERERC1OxJiIiImJhKtZERERELEzFmoiIiIiFqVgTERERsTAVayIiIiIWpmJNRERExMJUrImI\n10hNTSU/P9/sGOTk5DBlyhSzY4iIl1CxJiJew+Fw4HA4zI7R5Aw1NTVuSiIi3kDFmog0m7KyMgYO\nHEhCQgLx8fEsXboUgBdeeIGkpCTi4+OZNGlS7fapqak8/fTT3HXXXURHR7Nt2zaGDh1KZGQkzz33\nHADFxcVERUUxduxYYmJiePDBB6moqKhz7NWrV9O3b1969erFyJEjKSsrq7NNamoqM2fOJDk5mW7d\nurFx40agbs/YoEGD+PLLLwFo3bo1zzzzDHFxcTidTvLy8rj77rsJDw/nk08+qf2e0tJS0tLSiIyM\n5IUXXqh9/e233yY5OZnExEQeffTR2sKsdevWTJs2jYSEBPLy8hr9MxcR76NiTUSaTW5uLp06dWL7\n9u3s3LmTAQMGADBlyhS2bt3Kzp07qaioYOXKlYCrR6ply5Zs27aNyZMn88ADD/Daa6+xa9cucnJy\nOHXqFAD79u3j8ccfp6ioiDZt2vDqq69ectxvv/2WrKwsPv/8c/Lz8+nVqxd//OMf6+RzOBxUV1ez\nZcsW5s+fz6xZs+o9jx/3lJWXl5Oens6uXbu46aabeP7551m3bh3Lli3j+eefB8AwDLZu3cpHH33E\n119/zdKlS8nPz2fPnj28//77bN68mcLCQvz8/FiyZEntfvv06cP27dvp27dvE3/yIuJNAswOICLe\nq3v37kybNo2ZM2cyaNAg+vXrB8C6deuYN28e5eXlnDx5kri4OAYNGgTAkCFDAIiLiyMuLo7g4GAA\n7rzzTkpLS2nTpg2hoaH89Kc/BWDs2LG8/PLLTJ06FXAVSnl5eRQVFdUWPZWVlVcsgIYNGwZAz549\nKS4uvuY5tWjRorbojI+PJygoCH9/f+Li4i75/oyMDNq1a1d7jI0bN+Lv709+fj69e/cGoKKigo4d\nOwLg7+/P8OHDG/BTFRFfo2JNRJpNREQEhYWF/P3vf+fZZ58lPT2dZ555hscff5z8/Hw6derErFmz\nOH/+fO33tGzZEgA/P7/af1/8uqqqCri0p8swjHrHiDmdTt55551rZrx4DH9//9r9BwQEXDJu7Mf5\nAgMDL8nUokWLOvku9+OM48ePJzs7u842QUFBlhhvJyLWo9ugItJsjh49SlBQEL/4xS+YNm0ahYWF\ntYVP+/btOXfuXO04tutRUlJSO67rnXfeISUlpfY9h8NBnz592LRpEwcOHABcY+e++eabBu8/LCyM\n7du3YxgGpaWlbN269bozrlmzhlOnTlFRUcHy5cvp168f6enpfPDBB5w4cQKAkydPUlJSct37FhHf\nop41EWk2O3fuZPr06fj5+REYGMhrr71G27ZtmThxInFxcXTs2JHk5OR6v/dqMzu7devGK6+8woQJ\nE4iNjWXy5MmXvN+hQwdycnIYPXo0Fy5cACArK4uIiIir5r14vH79+tGlSxdiYmKIjo6mV69edbap\n7+uL/3Y4HCQlJTF8+HAOHTrEQw89RM+ePQF48cUXycjIoKamhsDAQF599VU6d+6sXjURuSKHYRiG\n2SFERBqquLiYwYMHs3PnTrOjiIh4hG6DiojtqBdKRHyJetZERERELEw9ayIiIiIWpmJNRERExMJU\nrImIiIhYmIo1EREREQtTsSYiIiJiYf8PUCWCW2yMZAQAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1067a24a8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "A = np.arange(1, 11)\n",
    "B = np.random.randn(10) # 10 rand. values from a std. norm. distr.\n",
    "C = B.cumsum()\n",
    "\n",
    "fig, (ax0, ax1) = plt.subplots(ncols=2, sharex=True, sharey=True, figsize=(10,5))\n",
    "\n",
    "## A) via plt.step()\n",
    "\n",
    "ax0.step(A, C, label='cumulative sum') # cumulative sum via numpy.cumsum()\n",
    "ax0.scatter(A, B, label='actual values')\n",
    "ax0.set_ylabel('Y value')\n",
    "ax0.legend(loc='upper right')\n",
    "\n",
    "\n",
    "## B) via plt.plot()\n",
    "\n",
    "ax1.plot(A, C, label='cumulative sum') # cumulative sum via numpy.cumsum()\n",
    "ax1.scatter(A, B, label='actual values')\n",
    "ax1.legend(loc='upper right')\n",
    "\n",
    "fig.text(0.5, 0.04, 'sample number', ha='center', va='center')\n",
    "fig.text(0.5, 0.95, 'Cumulative sum of 10 samples from a random normal distribution', ha='center', va='center')\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<br>\n",
    "<br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Absolute Count"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "[[back to top](#Sections)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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EioSwvVss22u2KyJJkjRKipxi/2pglwLLZpM/WyQpGX+2SFI7Ov3ZogXTrHsDsCewBfDX\nuZ1vjMOYkiRJXZkuhC0iAtf87LrmceBdvayUJEnSsCvSdbYUWNnbaqzD4UhJyTgcKakdvRiOrFkP\nOJkIY7Xtq8Cb2i1MkiRJoUhquw74KnAVsDpbVgWu7FWlsCdMUkL2hElqRy97wp4nQpgkSZJmSZFv\nOf4A+Ctga2A8d5EkSVKHinSdrSSGH5u9ZHar0sDhSEnJOBwpqR2dDke2/YA+MYRJSsYQJqkdvZwT\ndiite8LOaLcwSZIkhSIhbDfqIWx94tQUV2EIkyRJ6lgnw5GbAd8G/qSLcjcD/g14JRHwjgB+kVvv\ncKSkZByOlNSOXg5HNnuK7iflfwH4MfHzRwuADbvcnyRJ0kApEsJ+kLs9D9gJ+E4XZW4K7EPMNQN4\nAXisi/1JkiQNnCIh7LPZdZUITHcCd3VR5kuAB4FTgVcTZ94/muhhkyRJGglFTtZaAW4BNgHGgGe7\nLHMBsCvwlez6SeDjXe5TkiRpoBTpCXs38Bngkuz+l4GPAed0WObd2eVX2f1zaRHCJiYm1t4ul8uU\ny+UOi5M0DMbHYXKyP2WNjfWnHEmDqVKpUKlUut5P0R/w3g94ILu/BfBT4FVdlPsz4APAbcAEceqL\nY3Pr/XakpAZ+Y1HSXNXLb0eWiDlcNQ93UlCTDwNnAouAFcDhXe5PkiRpoBQJYRcAFwJnEeHrYOD8\nLsu9ljgJrCRJ0kgq2qP1X4C9stuXAuf1pjprORwpqYHDkZLmql7+gPdLgPuBp7P76wNbAivbLawN\nhjBJDQxhkuaqTkNYkVNUnAuszt1fky2TJElSh4qEsPnAc7n7zwILe1MdSZKk0VAkhD0EvDN3/53Z\nMkmSJHWoyPjlS4nTSSzJ7t8N/AVwe68qhXPCJDVxTpikuaqXE/NrNs6un2i3kA4YwiQ1MIRJmqv6\nEcL6yRAmqYEhTNJc1ctvR0qSJGmWGcIkSZISKBLCNgT+Hjg5u/+HwAE9q5EkSdIIKBLCTiXOE7Zn\ndv9e4H/3rEaSJEkjoEgIWwZ8mvoJW5/sXXUkSZJGQ5EQ9izxe5E1y7JlkiRJ6tCCAttMABcA2wJn\nAXsBh/WuSpIkScOv6DktNgf2yG7/gt7/bJHnCZPUwPOESZqrenGy1tcC+T95tW1ry65qt7A2GMIk\nNTCESZqrehHCKjSGsGZvbLewNhjCJDUwhEmaq/zZIklDzRAmaa7qNIQVmZi/PvAhYG+iZ+xS4KvA\nM+0WJkmSpFAktZ0DPA58M9v+fcCmwEE9rJc9YZIa2BMmaa7q5XDkTcBOBZbNJkOYpAaGMElzVS+H\nI68C3gBcnt3fA7iy3YKarCR611YDzwO7d7k/SZKkgVIktd0CvAy4i5gTtj1wK/BCdv9VHZR7B3EK\njEemWG9PmKQG9oRJmqt62RO2f9u1KWaufjNTkiSp54oGoTFgOxpDWzcna/0t8BgxHHkScHLTenvC\nJDWwJ0zSXNXLnrBPEr8V+VtgTW55Nydr3Qu4D9gCuJgY8ry0i/1JkiQNlCIh7GBgGfDcLJZ7X3b9\nIHAeMTG/IYRNTEysvV0ulymXy7NYvJTW+DhMTqauxWAZG0tdA0kKlUqFSqXS9X6KdJ2dB/w3YFXX\npYUNgPnAE8CGwEXAJ7LrGocjNdQcWpOk4dHL4chPAVcDNwDPZsuqwIHtFpbZkgh2tfLPpDGASZIk\nDb0iqe1m4meKbqA+J6wKXNKrSmFPmIacPWGSNDx6ecb8XwG7tbvjLhnCNNQMYZI0PHoZwj5HDEN+\nn/pwJHR3ioqZGMI01AxhkjQ8ehnCKsTwY7NuTlExE0OYhpohTJKGRy9DWAqGMA01Q5gkDY9efjsS\n4ABgJ2BxbtkJ7RYmSZKkMK/ANicB7waOIlLeu4EdelkpSZKkYVek6+x6YGfgOuBVwEbABcDePayX\nw5Eaag5HStLw6HQ4skhP2NPZ9VPANsALwFbtFiRJkqS6InPCfgiMAZ8BrsyWndyzGkmSJI2AdrvO\n1iMm5z/Wg7rkORypoeZwpCQNj14ORx4EbJLdPgY4Fdi13YIkSZJUVySE/QPwODERf1/gFOBrvayU\nJEnSsCsSwlZn1wcQc8F+CCzsWY0kSZJGQJEQdg/wr8DBwI+IOWFFHidJkqQpFJlEtiGwP3GesN8A\nWxPnDbuoh/VyYr6GmhPzJWl4+NuR0gAxhEnS8OjltyMlSZI0ywxhkiRJCRjCJEmSEjCESZIkJWAI\nkyRJSsAQJkmSlEDKEDYfuBr4QcI6SJIkJZEyhB0N3AR4tiRJkjRyUoWwbYG3Af/G3D1hrCRJUs+k\nCmGfBz4GrElUviRJUlIpQtgBwAPEfDB7wSRJ0khakKDMPYEDieHIxcAmwBnAIfmNJiYm1t4ul8uU\ny+W+VVDqxPg4TE4W23ZsrLd1kST1TqVSoVKpdL2f1D1Rfwx8FHhH03J/wFsDxx/llqTRNMg/4O3H\nliRJGjmpe8KmYk+YBo49YZI0mga5J0ySJGnkGMIkSZISMIRJkiQlYAiTJElKwBAmSZKUgCFMkiQp\nAUOYJElSAoYwSZKkBAxhkiRJCRjCJEmSEjCESZIkJWAIkyRJSsAQJkmSlIAhTJIkKQFDmCRJUgKG\nMEmSpAQMYZIkSQkYwiRJkhIwhEmSJCVgCJMkSUrAECZJkpSAIUySJCmBFCFsMXAFcA1wE3BigjpI\nkiQltSBBmc8AbwSeysr/D2Dv7FqSJGkkpBqOfCq7XgTMBx5JVA9JkqQkUoWwecRw5CpgOTEsKUmS\nNDJShbA1wGuAbYE/AsqJ6iFJkpREijlheY8BPwJeB1TyKyYmJtbeLpfLlMvlPlZLvTQ+DpOTqWsx\n+8bGUtdAktQPlUqFSqXS9X5K3VelbZsDLwCPAusDFwKfAH6a26ZarVYTVE39UCqBL68kaViUSiXo\nIFOl6AnbGjidGAqdB3yDxgAmSZI09FL0hBVhT9gQsydMkjRMOu0J84z5kiRJCRjCJEmSEjCESZIk\nJWAIkyRJSsAQJkmSlIAhTJIkKQFDmCRJUgKGMEmSpAQMYZIkSQkYwiRJkhIwhEmSJCVgCJMkSUrA\nECZJkpSAIUySJCkBQ5gkSVIChjBJkqQEDGGSJEkJGMIkSZISMIRJkiQlYAiTJElKwBAmSZKUgCFM\nkiQpgRQhbDtgOXAjcANwVII6SJIkJVVKUOZW2eUaYCPgSuBPgZtz21Sr1WqCqqkfSiXw5ZUkDYtS\nqQQdZKoUPWH3EwEM4PdE+FqSoB6SJEnJpJ4TthTYBbgicT0kSZL6KmUI2wg4Fzia6BGTJEkaGQsS\nlbsQ+Hfgm8D3Wm0wMTGx9na5XKZcLvejXnPK+DhMTqauxewbG0tdA0mSOlepVKhUKl3vJ8XE/BJw\nOvAw8D+n2MaJ+TiBXZKkQdDpxPwUIWxv4GfAdUAtYhwHXJDbxhCGIUySpEEwSCGsCEMYhjBJkgbB\nIJ2iQpIkaeQZwiRJkhIwhEmSJCVgCJMkSUrAECZJkpSAIUySJCkBQ5gkSVIChjBJkqQEDGGSJEkJ\nGMIkSZISMIRJkiQlYAiTJElKwBAmSZKUgCFMkiQpAUOYJElSAoYwSZKkBAxhkiRJCRjCJEmSEjCE\nSZIkJWAIkyRJSsAQJkmSlIAhTJIkKYFUIewUYBVwfaLyJUmSkkoVwk4F9k9U9tCrVCqpqzDQbL/O\n2Xbdsf26Y/t1zrZLI1UIuxSYTFT20PPN1B3br3O2XXdsv+7Yfp2z7dJwTpgkSVIChjBJkqQESgnL\nXgr8ANi5xbrbgWV9rY0kSVJnVgAvbfdBC3pQkdnQ9hORJEnSzL4F3As8C9wFHJ62OpIkSZIkSVKf\nfAa4GbgW+C6w6RTb7Q/cAvwGOLY/VRsIBwE3AquBXafZbiVwHXA18MveV2sgFG07j73WxoGLgduA\ni4DNpthuJR57eUWOpy9m668FdulTvQbBTG1XBh4jjrWrgb/rW83mviInSve4m9pM7VdmQI+9N1P/\npuY/Zpdm84kJ+0uBhcA1wI79qNwAeAXwMmA50weJO4gPTdUVaTuPvan9E3BMdvtYWr93wWMvr8jx\n9Dbgx9nt1wO/6Ffl5rgibVcGvt/XWg2OfYhgNVWI8Lib3kztV6bNY2+unKLiYmBNdvsKYNsW2+xO\nvPlWAs8DZwPv7EflBsAtRE9EESm/ETsXFWk7j72pHQicnt0+HfjTabb12AtFjqd8u15B9DBu2af6\nzWVF34sea63NdKJ0j7vpFTnRfFvH3lwJYXlHUE/iedsQk/hr7s6Wqbgq8BPg18CRiesySDz2prYl\n0T1Pdj3VH2yPvboix1OrbVr9czpqirRdFdiTGE77MbBTf6o2FDzuutP2sdfPU1RcDGzVYvnfEOcL\nA/hb4DngrBbbVXtUr0FRpP1mshdwH7BFtr9biGQ/7LptO4+91u33t033q0zdVqN67LVS9Hhq/o96\n1I9DKNYGVwHbAU8BbwW+R0w5UDEed51r+9jrZwh78wzrDyPGo/edYv09xJOr2Y5I6aNipvYr4r7s\n+kHgPKJrfxQ+CLttO4+9qa0iAtr9wNbAA1NsN6rHXitFjqfmbbbNlo26Im33RO72+cBXiPmIj/S2\nakPB4647A3vs7U98Q23zabZZQJyRdimwCCdHt7IceO0U6zYANs5ubwj8HHhLPyo1IKZrO4+9qf0T\n9W+ofZzWE/M99hoVOZ7yE6T3wAnSNUXabkvqvTm7E/PHVLeUYhPzPe5aW8rU7Tewx95vgN9R/1rn\nV7LlS4Af5bZ7K3ArMTHzuH5WcI77M2Ic/2miR+L8bHm+/f6A+IN1DXADtl9NkbYDj72pjBNzvZpP\nUeGxN71Wx9MHs0vNl7P11zL9t55HzUxt91fEcXYNcBkRJhRqJ0p/jvi7dwQed+2Yqf089iRJkiRJ\nkiRJkiRJkiRJkiRJkiRJkiRJkiRJmj2/T10BSaNrLv6AtyT1i7+LJykZQ5ikQbAbcQbv9YifProB\n2KlpmxOBD+XuTwAfybb/CXAlcB1wYIv9l2n8MfcvA4dmt18LVIBfAxfQ+sfMJUmShtYngc8QAenY\nFutfQ4SlmhuBbYD51H+7cnPiZ9Jqaj+4W6YxhH0JOARYSPz8yIuy5QcDX++w/pLUYEHqCkhSQScQ\nvVFPAx9usf4a4MXA1tn1JHAPEaROBPYB1hC/a/li4IEZyisBLwdeSfSkQQS6e7t5EpJUYwiTNCg2\nJ4YW5wPrA0+12OYc4F3EkOHZ2bL3Z4/dFVgN3AEsbnrcCzROz8ivvxHYs8u6S9I6nBMmaVCcBPwd\ncBbw6Sm2+TbwXiKInZMt24To9VoNvBHYocXjfkfMMVsEbAbsS0zavxXYAtgj224h685Fk6SO2BMm\naRAcAjxL9G7NI+ZplWmcAwZwE7ARcDewKlt2JjHf6zpiOPPm3Pa1b0feBXyHmPB/B3BVtvx5ItB9\nEdiU+Jv5+awcSZIkSZIkSZIkSZIkSZIkSZIkSZIkSZIkSZIkSZIkSZIkdev/AyPp5lzeA/8xAAAA\nAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1052dd630>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "A = np.arange(1, 11)\n",
    "B = np.random.randn(10) # 10 rand. values from a std. norm. distr.\n",
    "\n",
    "plt.figure(figsize=(10,5))\n",
    "\n",
    "\n",
    "plt.step(np.sort(B), A) \n",
    "plt.ylabel('sample count')\n",
    "plt.xlabel('x value')\n",
    "plt.title('Number of samples at a certain threshold')\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<br>\n",
    "<br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Colormaps"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "[[back to top](#Sections)]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "More color maps are available at [http://wiki.scipy.org/Cookbook/Matplotlib/Show_colormaps](http://wiki.scipy.org/Cookbook/Matplotlib/Show_colormaps)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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mTX1xFy5cyODBg7XipU6dOqxdu9bQ4sXtPsWWLd0NiydKF8lTQggAv/8CzqzF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\ny07Lunwsxc6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Y5xDtFbRaPKY8gceTU1A0kJKMZLViPXECS3w8Um4VorhSibJbN9lxuY7O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IQUjwduvBGefTb2RVxxhdK/lpyMP+jn4fUPc9equ3D7Iy4U6cZ0/nzKnzl/3PkxA/SWLUrb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\nYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1053d2668>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "\n",
    "fig, (ax0, ax1) = plt.subplots(1,2, figsize=(14, 7))\n",
    "samples = range(1,16)\n",
    "\n",
    "# Default Color Cycle\n",
    "\n",
    "for i in samples:\n",
    "    ax0.plot([0, 10], [0, i], label=i, lw=3) \n",
    "\n",
    "# Colormap    \n",
    "    \n",
    "colormap = plt.cm.Paired\n",
    "plt.gca().set_color_cycle([colormap(i) for i in np.linspace(0, 0.9, len(samples))])\n",
    "\n",
    "for i in samples:\n",
    "    ax1.plot([0, 10], [0, i], label=i, lw=3) \n",
    "    \n",
    "# Annotation    \n",
    "    \n",
    "ax0.set_title('Default color cycle')\n",
    "ax1.set_title('plt.cm.Paired colormap')\n",
    "ax0.legend(loc='upper left')\n",
    "ax1.legend(loc='upper left')\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<br>\n",
    "<br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Marker styles"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "[[back to top](#Sections)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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eRcJ8fHy8IiIilJSUpE8++aRE27y8PLv/oHPFRx99ZPcflvm/NSn8M+3oz2JCQoKys7M1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\nRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1064d6a90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "markers = [\n",
    "\n",
    "'.', # point\n",
    "',', # pixel\n",
    "'o', # circle\n",
    "'v', # triangle down\n",
    "'^', # triangle up\n",
    "'<', # triangle_left\n",
    "'>', # triangle_right\n",
    "'1', # tri_down\n",
    "'2', # tri_up\n",
    "'3', # tri_left\n",
    "'4', # tri_right\n",
    "'8', # octagon\n",
    "'s', # square\n",
    "'p', # pentagon\n",
    "'*', # star\n",
    "'h', # hexagon1\n",
    "'H', # hexagon2\n",
    "'+', # plus\n",
    "'x', # x\n",
    "'D', # diamond\n",
    "'d', # thin_diamond\n",
    "'|', # vline\n",
    "\n",
    "]\n",
    "\n",
    "plt.figure(figsize=(13, 10))\n",
    "samples = range(len(markers))\n",
    "\n",
    "\n",
    "for i in samples:\n",
    "    plt.plot([i-1, i, i+1], [i, i, i], label=markers[i], marker=markers[i], markersize=10) \n",
    "\n",
    "\n",
    "# Annotation    \n",
    "    \n",
    "plt.title('Matplotlib Marker styles', fontsize=20)\n",
    "plt.ylim([-1, len(markers)+1])\n",
    "plt.legend(loc='lower right')\n",
    "\n",
    "\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<br>\n",
    "<br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Line styles"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "[[back to top](#Sections)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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oR48euv7669WuXTuNGTNGn3zyScN8mCs45tLpZA3VgOOogZsAANQS2+TgqWpd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\nvgAAWEb4AgBg2f8Dx6yNvuDNup8AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x106a1d438>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "linestyles = ['-.', '--', 'None', '-', ':']\n",
    "\n",
    "plt.figure(figsize=(8, 5))\n",
    "samples = range(len(linestyles))\n",
    "\n",
    "\n",
    "for i in samples:\n",
    "    plt.plot([i-1, i, i+1], [i, i, i], \n",
    "             label='\"%s\"' %linestyles[i], \n",
    "             linestyle=linestyles[i],\n",
    "             lw=4\n",
    "             ) \n",
    "\n",
    "# Annotation    \n",
    "    \n",
    "plt.title('Matplotlib line styles', fontsize=20)\n",
    "plt.ylim([-1, len(linestyles)+1])\n",
    "plt.legend(loc='lower right')\n",
    "\n",
    "\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.4.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}
